3(3y-2)=2(3m+3)

Solution for 3(3y-2)=2(3m+3) equation:

Simplifying
3(3y + -2) = 2(3m + 3)

Reorder the terms:
3(-2 + 3y) = 2(3m + 3)
(-2 * 3 + 3y * 3) = 2(3m + 3)
(-6 + 9y) = 2(3m + 3)

Reorder the terms:
-6 + 9y = 2(3 + 3m)
-6 + 9y = (3 * 2 + 3m * 2)
-6 + 9y = (6 + 6m)

Solving
-6 + 9y = 6 + 6m

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + 9y = 6 + 6 + 6m

Combine like terms: -6 + 6 = 0
0 + 9y = 6 + 6 + 6m
9y = 6 + 6 + 6m

Combine like terms: 6 + 6 = 12
9y = 12 + 6m

Divide each side by '9'.
y = 1.333333333 + 0.6666666667m

Simplifying
y = 1.333333333 + 0.6666666667m